Algebra Examples

$f (x) = \frac{x + 1}{2}$ $g (x) = 2 x - 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x - 1)$ by substituting in the value of $g$ into $f$ .

$f (2 x - 1) = \frac{(2 x - 1) + 1}{2}$

Step 3

Simplify the numerator.

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Step 3.1

Add $- 1$ and $1$ .

$f (2 x - 1) = \frac{2 x + 0}{2}$

Step 3.2

Add $2 x$ and $0$ .

$f (2 x - 1) = \frac{2 x}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$f (2 x - 1) = \frac{2 x}{2}$

Step 4.2

Divide $x$ by $1$ .

$f (2 x - 1) = x$